Algebra - math word problems - page 297 of 312
Number of problems found: 6224
- Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - Hotel theft suspicion
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion? - Matej Anton age
Matthew and Anthony are 44 years old together. Matthew is twice as old as Anthony was when Matthew was half as old as Anthony will be when Anthony is 3 times older than Matthew was when Matthew was 3 times as old as Anthony. - Machine production
Six equally powerful machines produce 870 parts in 14 hours. Calculate in how many hours 870 parts will have four such machines. - Vinegar mixture percentage
What percentage of vinegar do we get by mixing 2 liters of 8% vinegar with 3 liters of 4% vinegar? - All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a. - Diggers
Eight diggers will do the job in 85 hours. After 21 hours, three diggers had to leave. How many hours will the work be done? - The orchard
Four temporary workers harvested the orchard in 9 days. How many temporary workers do we need for six days? - Building construction time
Two workers will build the building in 10 hours. How many hours would they have built the building if three more workers had helped them? - Horse hay calculation
Nine horses need a lot of hay for two days. How many horses would the same amount of hay be enough for three days? - Alcohol mixing
How much must 64% of the alcohol be poured into 6 liters of 85% alcohol to produce 79% alcohol? - Machine production calculation
Ten machines produced newspapers in 18 hours, and two machines rang for 2 hours. Thus, the production took 18 hours. - Number divisibility puzzle
The number X is the smallest natural number whose half is divisible by three, a third is divisible by four, a quarter is divisible by eleven, and its half gives a remainder of 5 when divided by seven. Find this number. - Tourist daily distance
The tourist covered 47 km in three days. The first day ran 20 percent more than the second day, and the third day was 4 km less than the second day. How many km has he traveled each day? - Concentration
We want to dilute 0.5 litres of 8% vinegar to a concentration of 0.20%. How many litres of water must we add? - Class grade average
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one? - Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company? - Natural number digits
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers. - Candy division proof
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken) - Deposit
If you deposit 881 euros at the beginning of each year, how much money do we have at 1.6% (compound) interest after 8 years?
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